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Finding the Fourth Proportional to 5,503.79, 8,256.90 and 2,580.50

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Solution

The fourth proportional to 5,503.79, 8,256.90 and 2,580.50 is: 3,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.79 : 8,256.90 = 2,580.50 : x
  2. Step 2: Convert to fraction form
    5,503.79/8,256.90 = 2,580.50/x
  3. Step 3: Cross multiply
    5,503.79x = 8,256.90 × 2,580.50
  4. Step 4: Simplify right side
    5,503.79x = 21,306,930.45
  5. Step 5: Solve for x
    x = 21,306,930.45/5,503.79
  6. Step 6: Final answer
    x = 3,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.